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If θ lies in the second quadrant, then show that

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If θ lies in the second quadrant, then show that

√(1 - sinθ)/(1 + sinθ) + √(1 + sinθ)/(1 - sinθ) = - 2secθ

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Best answer

We have

Given that θ lies in the second quadrant so |cos θ| = – cos θ (since cos θ < 0). 

Hence, the required value of the expression is 2/− θ cos = –2 secθ

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